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Finding the Fourth Proportional to 34,971.60, 48,259.17 and 19,056

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Solution

The fourth proportional to 34,971.60, 48,259.17 and 19,056 is: 26,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.60 : 48,259.17 = 19,056 : x
  2. Step 2: Convert to fraction form
    34,971.60/48,259.17 = 19,056/x
  3. Step 3: Cross multiply
    34,971.60x = 48,259.17 × 19,056
  4. Step 4: Simplify right side
    34,971.60x = 919,626,743.52
  5. Step 5: Solve for x
    x = 919,626,743.52/34,971.60
  6. Step 6: Final answer
    x = 26,296.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.